Prime p₀= 2865044471549741849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2865042837908168923	0 18 46 48 54 70 118 124 180 186 234 250 256 258 286 304	-1633641572926
SPT(16)	2865043170910311959	0 14 24 44 50 80 138 140 192 194 252 282 288 308 318 332	-1300639429890
SPT(16)	2865043207621069051	0 78 82 126 196 210 232 258 280 306 328 342 412 456 460 538	-1263928672798
SPT(16)	2865043861387789349	0 14 20 24 30 38 90 104 144 158 210 218 224 228 234 248	-610161952500
STPT(10)	2865043929445352021	0 2 6 8 48 50 90 92 96 98	-542104389828
STPT(10)	2865043941989665439	0 2 132 134 150 152 168 170 300 302	-529560076410
SPT(20)	2865044533572384203	0 6 14 56 78 80 84 96 138 140 144 146 188 200 204 206 228 270 278 284	62022642354
SPT(16)	2865044754860707217	0 14 32 116 126 170 182 212 294 324 336 380 390 474 492 506	283310965368
SPT(16)	2865044828603291597	0 32 92 110 116 162 170 182 240 252 260 306 312 330 390 422	357053549748
SPT(16)	2865044982015784031	0 66 80 90 128 132 168 192 206 230 266 270 308 318 332 398	510466042182
TPT(14)	2865045179528035979	0 2 12 14 72 74 138 140 228 230 402 404 522 524	707978294130